100022535200544 has 96 divisors (see below), whose sum is σ = 286431958923264. Its totient is φ = 30309458100480.

The previous prime is 100022535200543. The next prime is 100022535200557. The reversal of 100022535200544 is 445002535220001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (100022535200543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84720597 + ... + 85893099.

It is an arithmetic number, because the mean of its divisors is an integer number (2983666238784).

Almost surely, 2^{100022535200544} is an apocalyptic number.

It is an amenable number.

100022535200544 is an abundant number, since it is smaller than the sum of its proper divisors (186409423722720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100022535200544 is a wasteful number, since it uses less digits than its factorization.

100022535200544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253310 (or 1253302 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 100022535200544 in words is "one hundred trillion, twenty-two billion, five hundred thirty-five million, two hundred thousand, five hundred forty-four".